Interpolating Industrial Robot Orientation with Hermite Spline Curve Based on Logarithmic Quaternion

“…Based on the logarithmic quaternion, a compact method to map a spline curve from Cartesian space to quaternion space is proposed, and consequently the multi-orientation smooth interpolation of quaternion is realized. …”
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Into the Rabbit Hole: The Realism of Simulation by Mojca Krevel

“…As such, these works effectively reflect, comment on and contribute to the contemporary reality that can no longer be adequately described or theorised about in terms of Cartesian metaphysics.…”
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Intuitionistic Fuzzy Graphs with Categorical Properties by Hossein Rashmanlou, Sovan Samanta, Madhumangal Pal, Rajab Ali Borzooei

“…Firstly, three kinds of new product operations (called direct product, lexicographic product, and strong product) are defined in intuitionistic fuzzy graphs, and some important notions on intuitionistic fuzzy graphs are demonstrated by characterizing these notions and their level counterparts graphs such as intuitionistic fuzzy complete graph, cartesian product of intuitionistic fuzzy graphs, composition of intuitionistic fuzzy graphs, union of intuitionistic fuzzy graphs, and join of intuitionistic fuzzy graphs. …”
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Almost Injective Colorings by Goddard Wayne, Melville Robert, Xu Honghai

“…We present results with regards to the existence of such a coloring and also the maximum (minimum) number of colors for various graph classes such as complete k-partite graphs, trees, and Cartesian product graphs. In particular, we give a characterization of trees that have an almost-injective coloring. …”
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Curare le emozioni, curare con le emozioni by Fabio D’Andrea, Bianca Rumore

“…Emotions and care are prejudged terms in the history of western thinking. The Cartesian dualism res cogitans / res extensa (mind / body), direct successor of the ancient philosophy, is the predominant paradigm. …”
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Optimal Trajectory Planning for Manipulators with Efficiency and Smoothness Constraint by Zequan Xu, Wei Wang, Yixiang Chi, Kun Li, Leiying He

“…The greatest features of this method include: (1) automatic generation for complex trajectory and a new idea of selecting the nearest start point instead of using the traditional way of human operation; (2) an optimized motion sequence of the manipulator with the shortest length of the free-load path improves efficiency by nearly 65% and (3) trajectories both in Cartesian space and joint space are interpolated with good smoothness to reduce shocks and vibrations. …”
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Experimental and Theoretical Investigations of the Impact Localization of a Passive Smart Composite Plate Fabricated Using Piezoelectric Materials by M. M. S. Dezfouli, Mohd Roshdi Hassan, Mohd Hafidz Ruslan, Sohif Mat, B. Bakhtyar

“…The locations of the impacts are determined based on the crossing points of two circles and the origin of an intended Cartesian coordinate system that is concentric with one of the sensors. …”
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BOOK REVIEW: PAUL B. ARMSTRONG, “STORIES AND THE BRAIN: THE NEUROSCIENCE OF NARRATIVE”, BALTIMORE, JOHN HOPKINS UNIVERSITY PRESS, 2020, 259 P. by Ada BELEUŢĂ

“…To him, it appears that, “in their zeal to reject a Cartesian splitting of mind and body” (5), narratologists tend to overlook brain-based research in order to draw instead on psychological or philosophical perspectives. …”
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A Continuous Coordinate System for the Plane by Triangular Symmetry by Benedek Nagy, Khaled Abuhmaidan

“…Conversion between the Cartesian coordinate system and the new system is described. …”
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Spinoza on Method by محسن تهرانی, سید مصطفی شهر آیینی

“…By interrupting the traditional approach to the distinctiveness of the order of knowledge and the order of nature (which was the procedure of many philosophers like Aristotle, and his scholastic disciples, more especially of Thomas Aquinas and even Descartes and Cartesian), and acquiring a unified science, Spinoza changes the customary order of philosophizing and begins his famous book, Ethics, with a treatise on God, nature or substance, a being that, is assumed, first by nature, i.e. in the order of nature, but not first for us, i.e. in the order of knowledge. …”
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NUMERICAL SIMULATION OF A NATURALLY FRACTURED RESERVOIR. by Mohammad S. Al-Jawad, Ahmed J. Mahmood

“…The trap consists of six layers having different properties. Equally spaced Cartesian grids were used to divide each layer into 1600 cells in the x-y plane with the thickness as the dimension of each grid block in z direction. …”
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BOOK REVIEW: PAUL B. ARMSTRONG, “STORIES AND THE BRAIN: THE NEUROSCIENCE OF NARRATIVE”, BALTIMORE, JOHN HOPKINS UNIVERSITY PRESS, 2020, 259 P. by Ada BELEUŢĂ

“…To him, it appears that, “in their zeal to reject a Cartesian splitting of mind and body” (5), narratologists tend to overlook brain-based research in order to draw instead on psychological or philosophical perspectives. …”
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A structure theorem for stochastic processes indexed by the discrete hypercube by Pandelis Dodos, Konstantinos Tyros

“…Let A be a finite set with , let n be a positive integer, and let $A^n$ denote the discrete $n\text {-dimensional}$ hypercube (that is, $A^n$ is the Cartesian product of n many copies of A). Given a family $\langle D_t:t\in A^n\rangle $ of measurable events in a probability space (a stochastic process), what structural information can be obtained assuming that the events $\langle D_t:t\in A^n\rangle $ are not behaving as if they were independent? …”
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Magnetic field analytical calculation method for radial unite of a combined magnetic bearing by Xiaojun Ren, Ming Feng, Tianming Ren

“…The magnetic field of magnetic bearing with large diameter rotor is analysed and calculated in Cartesian coordinate system. Considering the influence of curvature the magnetic field distribution of magnetic bearing with small diameter rotor is deduced and calculated analytically in polar coordinate system. …”
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Sociedad y paisaje: una aproximación al análisis de la conectividad socioecológica by Pablo Díaz Rodríguez, Alberto Jonay Rodríguez Darias, Agustín Santana Talavera

“…The proceeding tries to es¬ta¬blish by a combination of quantitative and qualitative techniques the formal rela¬tion between cartesian landscape and socioeconomy with the aim of explaining the im¬pli¬cations of the actual socioeconomic changes in the maintenance of landscape. …”
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Inverse Kinematics Solution of Robot Manipulator End- Effector Position Using Multi-Neural Networks by Firas A. Raheem, Azad R. Kareem, Amjad J. Humaidi

“…The proposed approach verified by including it within an overall Cartesian trajectory planning system. This structure could produce the robot joint variables that are not included in the training data with an average error ±0.06º, and ±0.15º, ±0.05º for joint angles θ_1, θ_2 and θ_3 respectively. …”
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The uniformly continuous theorem of fractal interpolation surface function and its proof by Xuezai Pan, Minggang Wang

“…Second, the continuous concept of fractal interpolation surface function at a planar point in a three-dimensional cartesian coordinate space system and uniform continuity of fractal interpolation surface function on a closed rectangular area were defined in the paper. …”
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On Stronger Types of Locating-dominating Codes by Ville Junnila, Tero Laihonen, Tuomo Lehtilä, María Luz Puertas

“…Moreover, these codes are studied in trees and Cartesian products of graphs. We also give the complete realization theorems for the coexistence of the smallest possible size of these codes and the optimal locating-dominating codes in a graph.…”
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On Orbits of Order Ideals of Minuscule Posets by David B. Rush, Xiaolin Shi

“…If $P$ is a minuscule poset, it is shown that the Fon-Der-Flaass action on order ideals of the Cartesian product $P \times [2]$ also exhibits the cyclic sieving phenomenon, only the proof is by appeal to the classification of minuscule posets and is not uniform.…”
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Application Of Homotopy To The Ageing Process Of Human Bone by Vidhya K.R, Parvathy C.R

“…The elegant but complex skeletal shape of the human bone is described by the Cartesian functions of α = S1 X I and H, H' : α -> α. …”
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